Circle chord

What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?

Correct answer:

x =  112.876 m

Step-by-step explanation:

$$\begin{gathered} D=115\text{ m } \\ t=11\text{ m } \\ r=D\mathrm{/}2=115\mathrm{/}2={\displaystyle \frac{115}{2}}=57.5\text{ m } \\ (x\mathrm{/}2{)}^2+t^2=r^2 \\ (x\mathrm{/}2{)}^2=r^2-t^2 \\ x=2\cdot \sqrt{r^2-t^2}=2\cdot \sqrt{57.5^2-11^2}=\sqrt{12741}=112.876\text{ m} \end{gathered}$$

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